How can one soothe burning feet?

Depends: It depends on what the burning is from. See a podiatrist to determine cause and then treatment can be recommended.

Find cause: I suggest you discuss this with your dr. There are many causes for burning feet.

Burning feet: Is many times a form of neuropathy. Finding, the etiology if possible is always a good start and then treating that. There are nutrional causes, systemic disorders, localized compression neuropathies like neuromas or tarsal tunnel. Etc. A visit to the podiatrist should be helpful.